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Finding the Third Proportional to 700,542 and 1,484,381

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Solution

The third proportional to 700,542 and 1,484,381 is: 3,145,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,542 : 1,484,381 = 1,484,381 : x
  2. Step 2: Convert to fraction form
    700,542/1,484,381 = 1,484,381/x
  3. Step 3: Cross multiply
    700,542x = 1,484,381 × 1,484,381
  4. Step 4: Simplify right side
    700,542x = 2,203,386,953,161
  5. Step 5: Solve for x
    x = 2,203,386,953,161/700,542
  6. Step 6: Final answer
    x = 3,145,260.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.